λ
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Atlas › Integer Profiles › Node 52,688,760

52,688,760

23 × 3 × 5 × 43 × 10211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 43 × 10211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 161,758,080
Proper Divisor Sum 109,069,320
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #52688759 ← → #52688789

Radix Representation

Decimal 52688760
Binary 11001000111111011101111000 (26 bits)
Octal 0o310773570
Hexadecimal 0x323F778

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1,032 1,290 1,720 2,580 5,160 10,211 20,422 30,633 40,844 51,055 61,266 81,688 102,110 122,532 153,165 204,220 245,064 306,330 408,440 439,073 612,660 878,146 1,225,320 1,317,219 1,756,292 2,195,365 2,634,438 3,512,584 4,390,730 5,268,876 6,586,095 8,781,460 10,537,752

Collatz Trajectory (212 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

52,688,760 26,344,380 13,172,190 6,586,095 19,758,286 9,879,143 29,637,430 14,818,715 44,456,146 22,228,073 66,684,220 33,342,110 16,671,055 50,013,166 25,006,583 75,019,750 37,509,875 112,529,626 56,264,813 168,794,440 84,397,220 42,198,610 21,099,305 63,297,916 31,648,958 15,824,479 47,473,438 23,736,719 71,210,158 35,605,079 106,815,238 53,407,619 160,222,858 80,111,429 240,334,288 120,167,144 60,083,572 30,041,786 15,020,893 45,062,680 22,531,340 11,265,670 5,632,835 16,898,506 8,449,253 25,347,760 12,673,880 6,336,940 3,168,470 1,584,235 4,752,706 2,376,353 7,129,060 3,564,530 1,782,265 5,346,796 2,673,398 1,336,699 4,010,098 2,005,049

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